Titlebook: Nonoscillation Theory of Functional Differential Equations with Applications; Ravi P. Agarwal,Leonid Berezansky,Alexander Domosh Book 2012

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書(shū)目名稱Nonoscillation Theory of Functional Differential Equations with Applications影響因子(影響力)學(xué)科排名




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,Nonlinear Models—Modifications of Delay Logistic Equations,the connection of oscillation properties of nonlinear and linear delay differential equations can be employed. In this chapter, all the three methods are used. In the most difficult superlinear case the differential equation is transformed into an operator equation which incorporates both an increasing and a decreasing operators.

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漸變

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Second-Order Delay Differential Equations,ation is oscillatory if and only if it has a slowly oscillating solution, and explicit nonoscillation conditions which are obtained by substituting specific solutions of the generalized Riccati inequality. Sufficient conditions for positivity of a solution of the initial value problem are also presented in Chap.?7.

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First-Order Linear Delay Impulsive Differential Equations,in particular, oscillation and nonoscillation criteria) for an impulsive equation can be reduced to the similar problem for a certain nonimpulsive equation. In this chapter, nonoscillation criteria, comparison theorems and explicit nonoscillation conditions are presented.

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Book 2012gument.?Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. .Nonoscillation Theory of Functional?Differential Equations?with Applications?is addressed to a wide audience of?researchers in mathematics and practitioners.?.

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Appendices at the end of the book cover reference material. .Nonoscillation Theory of Functional?Differential Equations?with Applications?is addressed to a wide audience of?researchers in mathematics and practitioners.?.978-1-4899-9850-7978-1-4614-3455-9